Multilinear Hausdorff operators and their best constants

被引：0
作者：
Jie Cheng Chen
Da Shan Fan
Chun Jie Zhang
机构：
[1] Zhejiang Normal University,Department of Mathematics
[2] Zhejiang University,Department of Mathematics
[3] University of Wisconsin-Milwaukee,Department of Mathematics
[4] Hangzhou Dianzi University,School of Science
来源：
Acta Mathematica Sinica, English Series | 2012年 / 28卷
关键词：
Hausdorff operator; multilinear; Herz space; sharp bounds; 42B25; 42B99;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper, we study two different extensions of the Hausdorff operator to the multilinear case. Boundedness on Lebesgue spaces and Herz spaces is obtained. The bound on the Lebesgue space is optimal. Our results are substantial extensions of some known results on Multilinear high dimensional Hardy operator.
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页码：1521 / 1530
页数：9
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